What is the integral of 3xsinh(2x) ?

The integral of 3xsinh(2x) is 3(1/2 xcosh(2x)-1/4 sinh(2x))+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 3xsinh(2x)

\int 3 x sinh (2 x) d x

3 (\frac{1}{2} x cosh (2 x) - \frac{1}{4} sinh (2 x)) + C

Solution steps

\int 3 x sinh (2 x) d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 3 \cdot \int x sinh (2 x) d x

Apply Integration By Parts

: \frac{1}{2} x cosh (2 x) - \int \frac{1}{2} cosh (2 x) d x

= 3 (\frac{1}{2} x cosh (2 x) - \int \frac{1}{2} cosh (2 x) d x)

\int \frac{1}{2} cosh (2 x) d x = \frac{1}{4} sinh (2 x)

= 3 (\frac{1}{2} x cosh (2 x) - \frac{1}{4} sinh (2 x))

Add a constant to the solution

= 3 (\frac{1}{2} x cosh (2 x) - \frac{1}{4} sinh (2 x)) + C

\int sin (5 x + 1) d x

\int \frac{4 x + 2}{4 x - 1} d x

\int csc^{4} (b) x d x

\int \frac{5 x + 8}{x ^{2} - x - 2} d x

\int (\frac{7}{5}) d x

What is the integral of 3xsinh(2x) ?
The integral of 3xsinh(2x) is 3(1/2 xcosh(2x)-1/4 sinh(2x))+C